61513920400 has 45 divisors (see below), whose sum is σ = 147799112083. Its totient is φ = 24603584000.

The previous prime is 61513920389. The next prime is 61513920409. The reversal of 61513920400 is 402931516.

The square root of 61513920400 is 248020.

It is a perfect power (a square), and thus also a powerful number.

61513920400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4304934544 + 57208985856 = 65612^2 + 239184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61513920409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4954200 + ... + 4966600.

Almost surely, 2^61513920400 is an apocalyptic number.

61513920400 is the 248020-th square number.

It is an amenable number.

61513920400 is an abundant number, since it is smaller than the sum of its proper divisors (86285191683).

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

61513920400 is an frugal number, since it uses more digits than its factorization.

61513920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24820 (or 12408 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 61513920400 in words is "sixty-one billion, five hundred thirteen million, nine hundred twenty thousand, four hundred".