1541225414521 has 81 divisors (see below), whose sum is σ = 1796594533461. Its totient is φ = 1321470678528.

The previous prime is 1541225414489. The next prime is 1541225414537. The reversal of 1541225414521 is 1254145221451.

It is a happy number.

The square root of 1541225414521 is 1241461.

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

It can be written as a sum of positive squares in 40 ways, for example, as 1452051510121 + 89173904400 = 1205011^2 + 298620^2 .

It is not a de Polignac number, because 1541225414521 - 2⁵ = 1541225414489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (1541225414581) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17317139445 + ... + 17317139533.

Almost surely, 2^{1541225414521} is an apocalyptic number.

1541225414521 is the 1241461-st square number.

1541225414521 is the 620731-st centered octagonal number.

It is an amenable number.

1541225414521 is a deficient number, since it is larger than the sum of its proper divisors (255369118940).

1541225414521 is an frugal number, since it uses more digits than its factorization.

1541225414521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its digits is 64000, while the sum is 37.

The spelling of 1541225414521 in words is "one trillion, five hundred forty-one billion, two hundred twenty-five million, four hundred fourteen thousand, five hundred twenty-one".