1597870436761 has 9 divisors (see below), whose sum is σ = 1697414606749. Its totient is φ = 1503857833024.

The previous prime is 1597870436737. The next prime is 1597870436837. The reversal of 1597870436761 is 1676340787951.

The square root of 1597870436761 is 1264069.

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 102483857161 + 1495386579600 = 320131^2 + 1222860^2 .

It is not a de Polignac number, because 1597870436761 - 2¹⁹ = 1597869912473 is a prime.

It is a super-2 number, since 2×1597870436761² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1597870436693 and 1597870436702.

It is not an unprimeable number, because it can be changed into a prime (1597870436711) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21451995 + ... + 21526351.

Almost surely, 2^{1597870436761} is an apocalyptic number.

1597870436761 is the 1264069-th square number.

1597870436761 is the 632035-th centered octagonal number.

It is an amenable number.

1597870436761 is a deficient number, since it is larger than the sum of its proper divisors (99544169988).

1597870436761 is an frugal number, since it uses more digits than its factorization.

1597870436761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148748 (or 74374 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 64.

Multiplying 1597870436761 by its sum of digits (64), we get a square (102263707952704 = 10112552²).

The spelling of 1597870436761 in words is "one trillion, five hundred ninety-seven billion, eight hundred seventy million, four hundred thirty-six thousand, seven hundred sixty-one".