51537408 has 160 divisors (see below), whose sum is σ = 154677600. Its totient is φ = 15138816.

The previous prime is 51537401. The next prime is 51537463. The reversal of 51537408 is 80473515.

It is a super-2 number, since 2×51537408² = 5312208846716928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51537401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579028 + ... + 579116.

It is an arithmetic number, because the mean of its divisors is an integer number (966735).

Almost surely, 2^51537408 is an apocalyptic number.

51537408 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51537408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77338800).

51537408 is an abundant number, since it is smaller than the sum of its proper divisors (103140192).

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

51537408 is a wasteful number, since it uses less digits than its factorization.

51537408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 51537408 is about 7178.9559129444. The cubic root of 51537408 is about 372.1410033168.

It can be divided in two parts, 5153 and 7408, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 51537408 in words is "fifty-one million, five hundred thirty-seven thousand, four hundred eight".