1010254400541 has 24 divisors (see below), whose sum is σ = 1536478026720. Its totient is φ = 637881487776.

The previous prime is 1010254400453. The next prime is 1010254400557. The reversal of 1010254400541 is 1450044520101.

1010254400541 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 254 + 400 + 5 + 4 + 1 = 666.

It is not a de Polignac number, because 1010254400541 - 2⁷ = 1010254400413 is a prime.

It is a super-2 number, since 2×1010254400541² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010254400591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174595 + ... + 1432128.

It is an arithmetic number, because the mean of its divisors is an integer number (64019917780).

Almost surely, 2^{1010254400541} is an apocalyptic number.

It is an amenable number.

1010254400541 is a deficient number, since it is larger than the sum of its proper divisors (526223626179).

1010254400541 is a wasteful number, since it uses less digits than its factorization.

1010254400541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610425 (or 1610422 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 1010254400541 its reverse (1450044520101), we get a palindrome (2460298920642).

The spelling of 1010254400541 in words is "one trillion, ten billion, two hundred fifty-four million, four hundred thousand, five hundred forty-one".