83683251101025 has 81 divisors (see below), whose sum is σ = 150935575005579. Its totient is φ = 44320698829440.

The previous prime is 83683251101003. The next prime is 83683251101033. The reversal of 83683251101025 is 52010115238638.

The square root of 83683251101025 is 9147855.

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

83683251101025 is a `hidden beast` number, since 8 + 36 + 83 + 2 + 511 + 0 + 1 + 0 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 82454372432721 + 1228878668304 = 9080439^2 + 1108548^2 .

It is not a de Polignac number, because 83683251101025 - 2⁹ = 83683251100513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20445453879 + ... + 20445457971.

Almost surely, 2^{83683251101025} is an apocalyptic number.

83683251101025 is the 9147855-th square number.

83683251101025 is the 4573928-th centered octagonal number.

It is an amenable number.

83683251101025 is a deficient number, since it is larger than the sum of its proper divisors (67252323904554).

83683251101025 is an frugal number, since it uses more digits than its factorization.

83683251101025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8500 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 83683251101025 in words is "eighty-three trillion, six hundred eighty-three billion, two hundred fifty-one million, one hundred one thousand, twenty-five".