1613576952 has 96 divisors (see below), whose sum is σ = 4726612800. Its totient is φ = 494339328.

The previous prime is 1613576893. The next prime is 1613576953. The reversal of 1613576952 is 2596753161.

1613576952 is a `hidden beast` number, since 16 + 13 + 576 + 9 + 52 = 666.

It is a super-2 number, since 2×1613576952² = 5207261160051220608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1613576898 and 1613576907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1613576953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220098 + ... + 227310.

It is an arithmetic number, because the mean of its divisors is an integer number (49235550).

Almost surely, 2^1613576952 is an apocalyptic number.

1613576952 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 1613576952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363306400).

1613576952 is an abundant number, since it is smaller than the sum of its proper divisors (3113035848).

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

1613576952 is a wasteful number, since it uses less digits than its factorization.

1613576952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7477 (or 7470 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 1613576952 is about 40169.3533928541. The cubic root of 1613576952 is about 1172.9060523088.

The spelling of 1613576952 in words is "one billion, six hundred thirteen million, five hundred seventy-six thousand, nine hundred fifty-two".