516551121625 has 192 divisors, whose sum is σ = 844004738304. Its totient is φ = 311883264000.

The previous prime is 516551121613. The next prime is 516551121677. The reversal of 516551121625 is 526121155615.

It is not a de Polignac number, because 516551121625 - 2³⁷ = 379112168153 is a prime.

It is a super-2 number, since 2×516551121625² (a number of 24 digits) contains 22 as substring.

Its product of digits (90000) is a multiple of the sum of its prime divisors (1000).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 879984582 + ... + 879985168.

It is an arithmetic number, because the mean of its divisors is an integer number (4395858012).

Almost surely, 2^516551121625 is an apocalyptic number.

516551121625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

516551121625 is a deficient number, since it is larger than the sum of its proper divisors (327453616679).

516551121625 is a wasteful number, since it uses less digits than its factorization.

516551121625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1000 counting only the distinct ones).

The product of its digits is 90000, while the sum is 40.

The spelling of 516551121625 in words is "five hundred sixteen billion, five hundred fifty-one million, one hundred twenty-one thousand, six hundred twenty-five".