61512606900 has 216 divisors, whose sum is σ = 200228260960. Its totient is φ = 16380455040.

The previous prime is 61512606899. The next prime is 61512606901. The reversal of 61512606900 is 960621516.

It is an interprime number because it is at equal distance from previous prime (61512606899) and next prime (61512606901).

It is a super-2 number, since 2×61512606900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61512606901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24225831 + ... + 24228369.

Almost surely, 2^61512606900 is an apocalyptic number.

61512606900 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 61512606900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100114130480).

61512606900 is an abundant number, since it is smaller than the sum of its proper divisors (138715654060).

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

61512606900 is a wasteful number, since it uses less digits than its factorization.

61512606900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 61512606900 in words is "sixty-one billion, five hundred twelve million, six hundred six thousand, nine hundred".