1054334610 has 128 divisors (see below), whose sum is σ = 3300272640. Its totient is φ = 234461952.

The previous prime is 1054334581. The next prime is 1054334683. The reversal of 1054334610 is 164334501.

1054334610 is a `hidden beast` number, since 1 + 0 + 5 + 43 + 3 + 4 + 610 = 666.

It is a super-3 number, since 3×1054334610³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62392 + ... + 77468.

It is an arithmetic number, because the mean of its divisors is an integer number (25783380).

Almost surely, 2^1054334610 is an apocalyptic number.

1054334610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054334610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650136320).

1054334610 is an abundant number, since it is smaller than the sum of its proper divisors (2245938030).

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

1054334610 is a wasteful number, since it uses less digits than its factorization.

1054334610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15137 (or 15131 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1054334610 is about 32470.5190903995. The cubic root of 1054334610 is about 1017.7930657565.

The spelling of 1054334610 in words is "one billion, fifty-four million, three hundred thirty-four thousand, six hundred ten".