52131690 has 96 divisors (see below), whose sum is σ = 154614096. Its totient is φ = 12072960.

The previous prime is 52131683. The next prime is 52131691. The reversal of 52131690 is 9613125.

It can be written as a sum of positive squares in 8 ways, for example, as 29062881 + 23068809 = 5391^2 + 4803^2 .

It is a super-2 number, since 2×52131690² = 5435426204512200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52131691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18580 + ... + 21200.

Almost surely, 2^52131690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52131690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77307048).

52131690 is an abundant number, since it is smaller than the sum of its proper divisors (102482406).

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

52131690 is a wasteful number, since it uses less digits than its factorization.

52131690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 52131690 is about 7220.2278357404. The cubic root of 52131690 is about 373.5659362203.

It can be divided in two parts, 5213 and 1690, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 52131690 in words is "fifty-two million, one hundred thirty-one thousand, six hundred ninety".