51100825 has 24 divisors (see below), whose sum is σ = 66620736. Its totient is φ = 38808000.

The previous prime is 51100799. The next prime is 51100843. The reversal of 51100825 is 52800115.

It is not a de Polignac number, because 51100825 - 2²³ = 42712217 is a prime.

It is a super-2 number, since 2×51100825² = 5222588631361250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51100796 and 51100805.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103830 + ... + 104320.

It is an arithmetic number, because the mean of its divisors is an integer number (2775864).

Almost surely, 2^51100825 is an apocalyptic number.

It is an amenable number.

51100825 is a deficient number, since it is larger than the sum of its proper divisors (15519911).

51100825 is a wasteful number, since it uses less digits than its factorization.

51100825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 51100825 is about 7148.4841050393. The cubic root of 51100825 is about 371.0871967338.

The spelling of 51100825 in words is "fifty-one million, one hundred thousand, eight hundred twenty-five".