61264145250 has 1152 divisors, whose sum is σ = 231177203712. Its totient is φ = 11404800000.

The previous prime is 61264145231. The next prime is 61264145251. The reversal of 61264145250 is 5254146216.

61264145250 is a `hidden beast` number, since 6 + 1 + 2 + 641 + 4 + 5 + 2 + 5 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (61264145251) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1004330220 + ... + 1004330280.

It is an arithmetic number, because the mean of its divisors is an integer number (200674656).

Almost surely, 2^61264145250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61264145250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115588601856).

61264145250 is an abundant number, since it is smaller than the sum of its proper divisors (169913058462).

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

61264145250 is a wasteful number, since it uses less digits than its factorization.

61264145250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 61264145250 in words is "sixty-one billion, two hundred sixty-four million, one hundred forty-five thousand, two hundred fifty".