125613090 has 48 divisors (see below), whose sum is σ = 327570048. Its totient is φ = 33396768.

The previous prime is 125613083. The next prime is 125613121. The reversal of 125613090 is 90316521.

125613090 is a `hidden beast` number, since 12 + 561 + 3 + 0 + 90 = 666.

It is a Curzon number.

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, 31129 + ... + 34931.

It is an arithmetic number, because the mean of its divisors is an integer number (6824376).

Almost surely, 2^125613090 is an apocalyptic number.

125613090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125613090 is an abundant number, since it is smaller than the sum of its proper divisors (201956958).

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

125613090 is a wasteful number, since it uses less digits than its factorization.

125613090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4180 counting only the distinct ones).

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

The square root of 125613090 is about 11207.7245683502. The cubic root of 125613090 is about 500.8161205032.

It can be divided in two parts, 12561 and 3090, that added together give a palindrome (15651).

The spelling of 125613090 in words is "one hundred twenty-five million, six hundred thirteen thousand, ninety".