1516401625 has 32 divisors (see below), whose sum is σ = 1933989408. Its totient is φ = 1186790400.

The previous prime is 1516401563. The next prime is 1516401631. The reversal of 1516401625 is 5261046151.

It can be written as a sum of positive squares in 16 ways, for example, as 1328821209 + 187580416 = 36453^2 + 13696^2 .

It is not a de Polignac number, because 1516401625 - 2¹³ = 1516393433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1249519 + ... + 1250731.

It is an arithmetic number, because the mean of its divisors is an integer number (60437169).

Almost surely, 2^1516401625 is an apocalyptic number.

It is an amenable number.

1516401625 is a deficient number, since it is larger than the sum of its proper divisors (417587783).

1516401625 is a wasteful number, since it uses less digits than its factorization.

1516401625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 1516401625 is about 38941.0018489509. The cubic root of 1516401625 is about 1148.8713880147.

Adding to 1516401625 its reverse (5261046151), we get a palindrome (6777447776).

The spelling of 1516401625 in words is "one billion, five hundred sixteen million, four hundred one thousand, six hundred twenty-five".