61251540300 has 216 divisors, whose sum is σ = 196353109680. Its totient is φ = 15965683200.

The previous prime is 61251540299. The next prime is 61251540313. The reversal of 61251540300 is 304515216.

61251540300 is a `hidden beast` number, since 6 + 1 + 251 + 5 + 403 + 0 + 0 = 666.

It is a super-3 number, since 3×61251540300³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9607914 + ... + 9614286.

Almost surely, 2^61251540300 is an apocalyptic number.

61251540300 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 61251540300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98176554840).

61251540300 is an abundant number, since it is smaller than the sum of its proper divisors (135101569380).

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

61251540300 is a wasteful number, since it uses less digits than its factorization.

61251540300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6633 (or 6623 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 61251540300 in words is "sixty-one billion, two hundred fifty-one million, five hundred forty thousand, three hundred".