137563101025 has 27 divisors (see below), whose sum is σ = 198446481369. Its totient is φ = 94320082080.

The previous prime is 137563100981. The next prime is 137563101031. The reversal of 137563101025 is 520101365731.

The square root of 137563101025 is 370895.

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 63705255201 + 73857845824 = 252399^2 + 271768^2 .

It is not a de Polignac number, because 137563101025 - 2⁷ = 137563100897 is a prime.

It is a super-2 number, since 2×137563101025² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12976027 + ... + 12986623.

Almost surely, 2^137563101025 is an apocalyptic number.

137563101025 is the 370895-th square number.

137563101025 is the 185448-th centered octagonal number.

It is an amenable number.

137563101025 is a deficient number, since it is larger than the sum of its proper divisors (60883380344).

137563101025 is an frugal number, since it uses more digits than its factorization.

137563101025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21218 (or 10609 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

Adding to 137563101025 its reverse (520101365731), we get a palindrome (657664466756).

The spelling of 137563101025 in words is "one hundred thirty-seven billion, five hundred sixty-three million, one hundred one thousand, twenty-five".