51131535 has 64 divisors (see below), whose sum is σ = 102961152. Its totient is φ = 21090816.

The previous prime is 51131501. The next prime is 51131537. The reversal of 51131535 is 53513115.

It is not a de Polignac number, because 51131535 - 2⁸ = 51131279 is a prime.

It is a super-2 number, since 2×51131535² = 5228867742912450, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51131537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63757 + ... + 64553.

It is an arithmetic number, because the mean of its divisors is an integer number (1608768).

Almost surely, 2^51131535 is an apocalyptic number.

51131535 is an abundant number, since it is smaller than the sum of its proper divisors (51829617).

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

51131535 is a wasteful number, since it uses less digits than its factorization.

51131535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872.

The product of its digits is 1125, while the sum is 24.

The square root of 51131535 is about 7150.6317902686. The cubic root of 51131535 is about 371.1615191195.

The spelling of 51131535 in words is "fifty-one million, one hundred thirty-one thousand, five hundred thirty-five".