61930801881 has 63 divisors (see below), whose sum is σ = 100687764429. Its totient is φ = 38057509152.

The previous prime is 61930801873. The next prime is 61930801921. The reversal of 61930801881 is 18810803916.

The square root of 61930801881 is 248859.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 31996265625 + 29934536256 = 178875^2 + 173016^2 .

It is not a de Polignac number, because 61930801881 - 2³ = 61930801873 is a prime.

It is a super-2 number, since 2×61930801881² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61930801841) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 87349155 + ... + 87349863.

It is an arithmetic number, because the mean of its divisors is an integer number (1598218483).

Almost surely, 2^61930801881 is an apocalyptic number.

61930801881 is the 248859-th square number.

61930801881 is the 124430-th centered octagonal number.

It is an amenable number.

61930801881 is a deficient number, since it is larger than the sum of its proper divisors (38756962548).

61930801881 is an frugal number, since it uses more digits than its factorization.

61930801881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

It can be divided in two parts, 619 and 30801881, that added together give a square (30802500 = 5550²).

The spelling of 61930801881 in words is "sixty-one billion, nine hundred thirty million, eight hundred one thousand, eight hundred eighty-one".