61958013000 has 512 divisors, whose sum is σ = 222644298240. Its totient is φ = 14209843200.

The previous prime is 61958012971. The next prime is 61958013023. The reversal of 61958013000 is 31085916.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74918587 + ... + 74919413.

It is an arithmetic number, because the mean of its divisors is an integer number (434852145).

Almost surely, 2^61958013000 is an apocalyptic number.

61958013000 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 61958013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111322149120).

61958013000 is an abundant number, since it is smaller than the sum of its proper divisors (160686285240).

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

61958013000 is a wasteful number, since it uses less digits than its factorization.

61958013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

Adding to 61958013000 its reverse (31085916), we get a palindrome (61989098916).

The spelling of 61958013000 in words is "sixty-one billion, nine hundred fifty-eight million, thirteen thousand".