5461291524 has 192 divisors, whose sum is σ = 14902272000. Its totient is φ = 1542385152.

The previous prime is 5461291523. The next prime is 5461291573. The reversal of 5461291524 is 4251921645.

It is a super-2 number, since 2×5461291524² = 59651410220228485152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (86400) is a multiple of the sum of its prime divisors (480).

It is not an unprimeable number, because it can be changed into a prime (5461291523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27443577 + ... + 27443775.

It is an arithmetic number, because the mean of its divisors is an integer number (77616000).

Almost surely, 2^5461291524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5461291524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451136000).

5461291524 is an abundant number, since it is smaller than the sum of its proper divisors (9440980476).

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

5461291524 is a wasteful number, since it uses less digits than its factorization.

5461291524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 480 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 5461291524 is about 73900.5515811621. The cubic root of 5461291524 is about 1761.0233722057.

The spelling of 5461291524 in words is "five billion, four hundred sixty-one million, two hundred ninety-one thousand, five hundred twenty-four".