61516125 has 64 divisors (see below), whose sum is σ = 124151040. Its totient is φ = 29808000.

The previous prime is 61516123. The next prime is 61516153. The reversal of 61516125 is 52161516.

It is a happy number.

It is not a de Polignac number, because 61516125 - 2¹ = 61516123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61516123) 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, 36297 + ... + 37953.

It is an arithmetic number, because the mean of its divisors is an integer number (1939860).

Almost surely, 2^61516125 is an apocalyptic number.

It is an amenable number.

61516125 is an abundant number, since it is smaller than the sum of its proper divisors (62634915).

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

61516125 is a wasteful number, since it uses less digits than its factorization.

61516125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1676 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 61516125 is about 7843.2215957475. The cubic root of 61516125 is about 394.7568337243.

The spelling of 61516125 in words is "sixty-one million, five hundred sixteen thousand, one hundred twenty-five".