1616825952 has 108 divisors (see below), whose sum is σ = 5348564676. Its totient is φ = 461946240.

The previous prime is 1616825941. The next prime is 1616825971. The reversal of 1616825952 is 2595286161.

1616825952 is a `hidden beast` number, since 1 + 616 + 8 + 25 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×1616825952² = 5228252318121412608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1616825898 and 1616825907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43174 + ... + 71397.

It is an arithmetic number, because the mean of its divisors is an integer number (49523747).

Almost surely, 2^1616825952 is an apocalyptic number.

1616825952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1616825952 is an abundant number, since it is smaller than the sum of its proper divisors (3731738724).

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

1616825952 is a wasteful number, since it uses less digits than its factorization.

1616825952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114601 (or 114583 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 1616825952 is about 40209.7743341094. The cubic root of 1616825952 is about 1173.6927551894.

The spelling of 1616825952 in words is "one billion, six hundred sixteen million, eight hundred twenty-five thousand, nine hundred fifty-two".