5141252461254 has 256 divisors, whose sum is σ = 13316399308800. Its totient is φ = 1287387509760.

The previous prime is 5141252461253. The next prime is 5141252461351. The reversal of 5141252461254 is 4521642521415.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5141252461253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124467897 + ... + 124509195.

It is an arithmetic number, because the mean of its divisors is an integer number (52017184800).

Almost surely, 2^{5141252461254} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5141252461254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658199654400).

5141252461254 is an abundant number, since it is smaller than the sum of its proper divisors (8175146847546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5141252461254 is a wasteful number, since it uses less digits than its factorization.

5141252461254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41515.

The product of its digits is 384000, while the sum is 42.

Adding to 5141252461254 its reverse (4521642521415), we get a palindrome (9662894982669).

The spelling of 5141252461254 in words is "five trillion, one hundred forty-one billion, two hundred fifty-two million, four hundred sixty-one thousand, two hundred fifty-four".