61370152900 has 81 divisors (see below), whose sum is σ = 154959586509. Its totient is φ = 21035249760.

The previous prime is 61370152861. The next prime is 61370152973. The reversal of 61370152900 is 925107316.

The square root of 61370152900 is 247730.

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

It can be written as a sum of positive squares in only one way, i.e., 22093255044 + 39276897856 = 148638^2 + 198184^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17339331 + ... + 17342869.

Almost surely, 2^61370152900 is an apocalyptic number.

61370152900 is the 247730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61370152900

61370152900 is an abundant number, since it is smaller than the sum of its proper divisors (93589433609).

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

61370152900 is an equidigital number, since it uses as much as digits as its factorization.

61370152900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7106 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The spelling of 61370152900 in words is "sixty-one billion, three hundred seventy million, one hundred fifty-two thousand, nine hundred".