61653012300 has 432 divisors, whose sum is σ = 219705437952. Its totient is φ = 14872377600.

The previous prime is 61653012263. The next prime is 61653012331. The reversal of 61653012300 is 321035616.

61653012300 is a `hidden beast` number, since 6 + 1 + 6 + 530 + 123 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70299462 + ... + 70300338.

Almost surely, 2^61653012300 is an apocalyptic number.

61653012300 is a gapful number since it is divisible by the number (60) 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 61653012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109852718976).

61653012300 is an abundant number, since it is smaller than the sum of its proper divisors (158052425652).

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

61653012300 is a wasteful number, since it uses less digits than its factorization.

61653012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 61653012300 its reverse (321035616), we get a palindrome (61974047916).

The spelling of 61653012300 in words is "sixty-one billion, six hundred fifty-three million, twelve thousand, three hundred".