511151025 has 96 divisors (see below), whose sum is σ = 1071645696. Its totient is φ = 208800000.

The previous prime is 511150999. The next prime is 511151051. The reversal of 511151025 is 520151115.

It is an interprime number because it is at equal distance from previous prime (511150999) and next prime (511151051).

It is not a de Polignac number, because 511151025 - 2¹⁸ = 510888881 is a prime.

It is a super-2 number, since 2×511151025² = 522550740717101250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 511150992 and 511151010.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 351550 + ... + 353000.

It is an arithmetic number, because the mean of its divisors is an integer number (11162976).

Almost surely, 2^511151025 is an apocalyptic number.

511151025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

511151025 is an abundant number, since it is smaller than the sum of its proper divisors (560494671).

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

511151025 is a wasteful number, since it uses less digits than its factorization.

511151025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 21.

The square root of 511151025 is about 22608.6493404626. The cubic root of 511151025 is about 799.5575808976.

The spelling of 511151025 in words is "five hundred eleven million, one hundred fifty-one thousand, twenty-five".