61513299936 has 672 divisors, whose sum is σ = 214179033600. Its totient is φ = 17174384640.

The previous prime is 61513299931. The next prime is 61513299959. The reversal of 61513299936 is 63999231516.

61513299936 is a `hidden beast` number, since 6 + 1 + 513 + 2 + 9 + 99 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61513299931) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 257377705 + ... + 257377943.

It is an arithmetic number, because the mean of its divisors is an integer number (318718800).

Almost surely, 2^61513299936 is an apocalyptic number.

61513299936 is a gapful number since it is divisible by the number (66) 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 61513299936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107089516800).

61513299936 is an abundant number, since it is smaller than the sum of its proper divisors (152665733664).

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

61513299936 is a wasteful number, since it uses less digits than its factorization.

61513299936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 331 counting only the distinct ones).

The product of its digits is 2361960, while the sum is 54.

The spelling of 61513299936 in words is "sixty-one billion, five hundred thirteen million, two hundred ninety-nine thousand, nine hundred thirty-six".