610100981952 has 896 divisors, whose sum is σ = 2199475814400. Its totient is φ = 147433144320.

The previous prime is 610100981951. The next prime is 610100981977. The reversal of 610100981952 is 259189001016.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (610100981951) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1317712473 + ... + 1317712935.

Almost surely, 2^610100981952 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 610100981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099737907200).

610100981952 is an abundant number, since it is smaller than the sum of its proper divisors (1589374832448).

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

610100981952 is a wasteful number, since it uses less digits than its factorization.

610100981952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 42.

Adding to 610100981952 its reverse (259189001016), we get a palindrome (869289982968).

The spelling of 610100981952 in words is "six hundred ten billion, one hundred million, nine hundred eighty-one thousand, nine hundred fifty-two".