1537091642025 has 45 divisors (see below), whose sum is σ = 2847328408903. Its totient is φ = 819752454000.

The previous prime is 1537091642011. The next prime is 1537091642057. The reversal of 1537091642025 is 5202461907351.

The square root of 1537091642025 is 1239795.

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

1537091642025 is a `hidden beast` number, since 1 + 53 + 70 + 91 + 6 + 420 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 553352991129 + 983738650896 = 743877^2 + 991836^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 1537091642025 - 2¹¹ = 1537091639977 is a prime.

It is a super-2 number, since 2×1537091642025² (a number of 25 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 55777000 + ... + 55804550.

Almost surely, 2^{1537091642025} is an apocalyptic number.

1537091642025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1537091642025 is the 1239795-th square number.

1537091642025 is the 619898-th centered octagonal number.

It is an amenable number.

1537091642025 is a deficient number, since it is larger than the sum of its proper divisors (1310236766878).

1537091642025 is an frugal number, since it uses more digits than its factorization.

1537091642025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55124 (or 27559 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1537091642025 in words is "one trillion, five hundred thirty-seven billion, ninety-one million, six hundred forty-two thousand, twenty-five".