2567842797601 has 9 divisors (see below), whose sum is σ = 2572126865553. Its totient is φ = 2563565861220.

The previous prime is 2567842797589. The next prime is 2567842797649. The reversal of 2567842797601 is 1067972487652.

The square root of 2567842797601 is 1602449.

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

It is not a de Polignac number, because 2567842797601 - 2¹³ = 2567842789409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2567842797001) 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, 1459830160 + ... + 1459831918.

Almost surely, 2^{2567842797601} is an apocalyptic number.

2567842797601 is the 1602449-th square number.

2567842797601 is the 801225-th centered octagonal number.

It is an amenable number.

2567842797601 is a deficient number, since it is larger than the sum of its proper divisors (4284067952).

2567842797601 is an frugal number, since it uses more digits than its factorization.

2567842797601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5340 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 64.

Multiplying 2567842797601 by its sum of digits (64), we get a square (164341939046464 = 12819592²).

The spelling of 2567842797601 in words is "two trillion, five hundred sixty-seven billion, eight hundred forty-two million, seven hundred ninety-seven thousand, six hundred one".