1655813952 has 168 divisors, whose sum is σ = 5133249576. Its totient is φ = 507285504.

The previous prime is 1655813941. The next prime is 1655813963. The reversal of 1655813952 is 2593185561.

1655813952 is a `hidden beast` number, since 1 + 6 + 558 + 1 + 3 + 95 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1655813941) and next prime (1655813963).

It can be written as a sum of positive squares in 4 ways, for example, as 2903616 + 1652910336 = 1704^2 + 40656^2 .

It is a super-3 number, since 3×1655813952³ (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1655813898 and 1655813907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2972458 + ... + 2973014.

It is an arithmetic number, because the mean of its divisors is an integer number (30555057).

Almost surely, 2^1655813952 is an apocalyptic number.

1655813952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1655813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566624788).

1655813952 is an abundant number, since it is smaller than the sum of its proper divisors (3477435624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1655813952 is a wasteful number, since it uses less digits than its factorization.

1655813952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 972 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The square root of 1655813952 is about 40691.6938944547. The cubic root of 1655813952 is about 1183.0520321802.

The spelling of 1655813952 in words is "one billion, six hundred fifty-five million, eight hundred thirteen thousand, nine hundred fifty-two".