1540541025 has 84 divisors (see below), whose sum is σ = 2889677772. Its totient is φ = 814302720.

The previous prime is 1540541017. The next prime is 1540541029. The reversal of 1540541025 is 5201450451.

It can be written as a sum of positive squares in 6 ways, for example, as 239351841 + 1301189184 = 15471^2 + 36072^2 .

It is not a de Polignac number, because 1540541025 - 2³ = 1540541017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1540541025.

It is not an unprimeable number, because it can be changed into a prime (1540541029) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2496517 + ... + 2497133.

Almost surely, 2^1540541025 is an apocalyptic number.

1540541025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1540541025 is a deficient number, since it is larger than the sum of its proper divisors (1349136747).

1540541025 is an equidigital number, since it uses as much as digits as its factorization.

1540541025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1540541025 is about 39249.7264321677. The cubic root of 1540541025 is about 1154.9355673282.

Adding to 1540541025 its reverse (5201450451), we get a palindrome (6741991476).

It can be divided in two parts, 15 and 40541025, that multiplied together give a triangular number (608115375 = T₃₄₈₇₄).

The spelling of 1540541025 in words is "one billion, five hundred forty million, five hundred forty-one thousand, twenty-five".