61507126250000 has 160 divisors (see below), whose sum is σ = 157724726301792. Its totient is φ = 23155616000000.

The previous prime is 61507126249993. The next prime is 61507126250029. The reversal of 61507126250000 is 5262170516.

61507126250000 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 16 ways, for example, as 28389587363344 + 33117538886656 = 5328188^2 + 5754784^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19802774 + ... + 22697226.

Almost surely, 2^{61507126250000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61507126250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78862363150896).

61507126250000 is an abundant number, since it is smaller than the sum of its proper divisors (96217600051792).

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

61507126250000 is an frugal number, since it uses more digits than its factorization.

61507126250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894513 (or 2894477 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 61507126250000 in words is "sixty-one trillion, five hundred seven billion, one hundred twenty-six million, two hundred fifty thousand".