1557605952 has 168 divisors, whose sum is σ = 5175211392. Its totient is φ = 438681600.

The previous prime is 1557605893. The next prime is 1557605953. The reversal of 1557605952 is 2595067551.

1557605952 is a `hidden beast` number, since 1 + 5 + 57 + 6 + 0 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1557605952² = 4852272603411652608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1557605898 and 1557605907.

It is not an unprimeable number, because it can be changed into a prime (1557605953) 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, 283552 + ... + 288992.

Almost surely, 2^1557605952 is an apocalyptic number.

1557605952 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 1557605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587605696).

1557605952 is an abundant number, since it is smaller than the sum of its proper divisors (3617605440).

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

1557605952 is a wasteful number, since it uses less digits than its factorization.

1557605952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 45.

The square root of 1557605952 is about 39466.5168465625. The cubic root of 1557605952 is about 1159.1844128289.

The spelling of 1557605952 in words is "one billion, five hundred fifty-seven million, six hundred five thousand, nine hundred fifty-two".